What is the Least Common Multiple of 6084 and 6100?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 6084 and 6100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6084 and 6100, than apply into the LCM equation.

GCF(6084,6100) = 4
LCM(6084,6100) = ( 6084 × 6100) / 4
LCM(6084,6100) = 37112400 / 4
LCM(6084,6100) = 9278100

Least Common Multiple (LCM) of 6084 and 6100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6084 and 6100. First we will calculate the prime factors of 6084 and 6100.

Prime Factorization of 6084

Prime Factorization of 6100

Now multiplying the highest exponent prime factors to calculate the LCM of 6084 and 6100.

LCM(6084,6100) = 2² × 3² × 13² × 5² × 61¹
LCM(6084,6100) = 9278100